Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 183, Issue 2, Pages 245-258Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2004.12.030
Keywords
partial differential equations; grid refinement; moving grid; catalytic combustion; flame propagation; Korteweg-de Vries equation
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In this paper, we report on the development of a MATLAB library for the solution of partial differential equation systems following the method of lines. In particular, we focus attention on upwind finite difference schemes and grid adaptivity, i.e., grid movement or grid refinement. Several algorithms are presented and their performance is demonstrated with illustrative examples including a fixed-bed reactor with periodic flow reversal, a model of flame propagation, and the Korteweg-de Vries equation. (c) 2005 Elsevier B.V. All rights reserved.
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